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Mean free path effects in the shock-implosion problem

Goldsworthy, M. J. and Pullin, D. I. (2009) Mean free path effects in the shock-implosion problem. Physics of Fluids, 21 (2). 026101. ISSN 1070-6631. https://resolver.caltech.edu/CaltechAUTHORS:20090414-090059769

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Abstract

The effects of finite Knudsen number in the problem of a cylindrically imploding shock wave in a monatomic gas are investigated. Numerical solutions of the flow field are obtained with initial conditions in the ranges 1.25 ≤ M0 ≤ 5 and 0.005 ≤ Kn0 ≤ 0.1 using the direct simulation Monte Carlo method. Results show that as Kn0 decreases and M0 increases, the maximum implosion temperature scales increasingly well with the similarity exponent predicted in the Guderley solution for an imploding strong shock in the Euler limit. When the radius of curvature is large, the cylindrical shock thickness is found to be almost identical to the thickness of a planar shock for a given shock Mach number. For small radii of curvature, the cylindrical shock was found to be thicker than the corresponding planar shock.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.3075952DOIUNSPECIFIED
http://link.aip.org/link/?PHFLE6/21/026101/1PublisherUNSPECIFIED
Additional Information:© 2009 American Institute of Physics. Received 24 April 2008; accepted 23 December 2008; published 11 February 2009.
Group:GALCIT
Subject Keywords:explosions; flow simulation; Knudsen flow; Mach number; Monte Carlo methods; shock waves
Issue or Number:2
Record Number:CaltechAUTHORS:20090414-090059769
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20090414-090059769
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13964
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:05 Aug 2009 16:54
Last Modified:03 Oct 2019 00:45

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